"dune/common/exceptions.hh" did not exist on "c75cc0bd348fb5e391a79346d3da4b9ca1b38871"
Newer
Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
// -*- tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 2 -*-
// vi: set et ts=4 sw=2 sts=2:
#include "float_cmp.hh"
#include <vector>
#include <limits>
#include <algorithm>
#include <cstdlib>
#include <dune/common/fvector.hh>
namespace Dune {
namespace FloatCmp {
// traits
//! Mapping of value type to epsilon type
/**
* @ingroup FloatCmp
* @tparam T The value type
*/
template<class T> struct EpsilonType {
//! The epsilon type corresponding to value type T
typedef T Type;
};
//! Specialization of EpsilonType for std::vector
/**
* @ingroup FloatCmp
* @tparam T The value_type of the std::vector
* @tparam A The Allocator of the std::vector
*/
template<class T, typename A>
struct EpsilonType<std::vector<T, A> > {
//! The epsilon type corresponding to value type std::vector<T, A>
typedef EpsilonType<T> Type;
};
//! Specialization of EpsilonType for Dune::FieldVector
/**
* @ingroup FloatCmp
* @tparam T The field_type of the Dune::FieldVector
* @tparam n The size of the Dune::FieldVector
*/
template<class T, int n>
struct EpsilonType<FieldVector<T, n> > {
//! The epsilon type corresponding to value type Dune::FieldVector<T, n>
typedef EpsilonType<T> Type;
};
// default epsilon
template<class T>
struct DefaultEpsilon<T, relativeWeak> {
static typename EpsilonType<T>::Type value()
{ return std::numeric_limits<typename EpsilonType<T>::Type>::epsilon()*8; }
};
template<class T>
struct DefaultEpsilon<T, relativeStrong> {
static typename EpsilonType<T>::Type value()
{ return std::numeric_limits<typename EpsilonType<T>::Type>::epsilon()*8; }
};
template<class T>
struct DefaultEpsilon<T, absolute> {
static typename EpsilonType<T>::Type value()
{ return std::max(std::numeric_limits<typename EpsilonType<T>::Type>::epsilon(), 1e-6); }
};
namespace Detail {
// basic comparison
template<class T, CmpStyle style = defaultCmpStyle>
struct eq_t;
template<class T>
struct eq_t<T, relativeWeak> {
static bool eq(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T>::value())
{ return std::abs(first - second) <= epsilon*std::max(std::abs(first), std::abs(second)); }
};
template<class T>
struct eq_t<T, relativeStrong> {
static bool eq(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T>::value())
{ return std::abs(first - second) <= epsilon*std::min(std::abs(first), std::abs(second)); }
};
template<class T>
struct eq_t<T, absolute> {
static bool eq(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T>::value())
{ return std::abs(first-second) <= epsilon; }
};
template<class T, CmpStyle cstyle>
struct eq_t<std::vector<T>, cstyle> {
static bool eq(const std::vector<T> &first,
const std::vector<T> &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T>::value()) {
unsigned int size = first.size();
if(size != second.size()) return false;
for(unsigned int i = 0; i < size; ++i)
if(!eq_t<T, cstyle>(first[i], second[i], epsilon))
return false;
return true;
}
};
template<class T, int n, CmpStyle cstyle>
struct eq_t<Dune::FieldVector<T, n>, cstyle> {
static bool eq(const Dune::FieldVector<T, n> &first,
const Dune::FieldVector<T, n> &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T>::value()) {
for(int i = 0; i < n; ++i)
if(!eq_t<T, cstyle>(first[i], second[i], epsilon))
return false;
return true;
}
};
} // namespace Detail
// operations in functional style
template <class T, CmpStyle style>
bool eq(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
{
return Detail::eq_t<T, style>::eq(first, second, epsilon);
}
template <class T, CmpStyle style>
bool ne(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
{
return !eq<T, style>(first, second, epsilon);
}
template <class T, CmpStyle style>
bool gt(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
{
return first > second && ne<T, style>(first, second, epsilon);
}
template <class T, CmpStyle style>
bool lt(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
{
return first < second && ne<T, style>(first, second, epsilon);
}
template <class T, CmpStyle style>
bool ge(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
{
return first > second || eq<T, style>(first, second, epsilon);
}
template <class T, CmpStyle style>
bool le(const T &first,
const T &second,
Jorrit Fahlke
committed
typename EpsilonType<T>::Type epsilon)
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
{
return first < second || eq<T, style>(first, second, epsilon);
}
// default template arguments
template <class T>
bool eq(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return eq<T, defaultCmpStyle>(first, second, epsilon);
}
template <class T>
bool ne(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return ne<T, defaultCmpStyle>(first, second, epsilon);
}
template <class T>
bool gt(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return gt<T, defaultCmpStyle>(first, second, epsilon);
}
template <class T>
bool lt(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return lt<T, defaultCmpStyle>(first, second, epsilon);
}
template <class T>
bool ge(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return ge<T, defaultCmpStyle>(first, second, epsilon);
}
template <class T>
bool le(const T &first,
const T &second,
typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return le<T, defaultCmpStyle>(first, second, epsilon);
}
// rounding operations
namespace Detail {
template<class I, class T, CmpStyle cstyle = defaultCmpStyle, RoundingStyle rstyle = defaultRoundingStyle>
struct round_t;
template<class I, class T, CmpStyle cstyle>
struct round_t<I, T, cstyle, downward> {
static I
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
// first get an approximation
I lower = I(val);
I upper;
if(eq<T, cstyle>(T(lower), val, epsilon)) return lower;
if(T(lower) > val) { upper = lower; lower--; }
else upper = lower+1;
if(le<T, cstyle>(val - T(lower), T(upper) - val, epsilon))
return lower;
else return upper;
}
};
template<class I, class T, CmpStyle cstyle>
struct round_t<I, T, cstyle, upward> {
static I
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
// first get an approximation
I lower = I(val);
I upper;
if(eq<T, cstyle>(T(lower), val, epsilon)) return lower;
if(T(lower) > val) { upper = lower; lower--; }
else upper = lower+1;
if(lt<T, cstyle>(val - T(lower), T(upper) - val, epsilon))
return lower;
else return upper;
}
};
template<class I, class T, CmpStyle cstyle>
struct round_t<I, T, cstyle, towardZero> {
static I
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
if(val > T(0))
return round_t<I, T, cstyle, downward>::round(val, epsilon);
else return round_t<I, T, cstyle, upward>::round(val, epsilon);
}
};
template<class I, class T, CmpStyle cstyle>
struct round_t<I, T, cstyle, towardInf> {
static I
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
if(val > T(0))
return round_t<I, T, cstyle, upward>::round(val, epsilon);
else return round_t<I, T, cstyle, downward>::round(val, epsilon);
}
};
template<class I, class T, CmpStyle cstyle, RoundingStyle rstyle>
struct round_t<std::vector<I>, std::vector<T>, cstyle, rstyle> {
static std::vector<I>
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
unsigned int size = val.size();
std::vector<I> res(size);
for(unsigned int i = 0; i < size; ++i)
res[i] = round_t<I, T, cstyle, rstyle>::round(val[i], epsilon);
return res;
}
};
template<class I, class T, int n, CmpStyle cstyle, RoundingStyle rstyle>
struct round_t<Dune::FieldVector<I, n>, Dune::FieldVector<T, n>, cstyle, rstyle> {
static Dune::FieldVector<I, n>
round(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
Dune::FieldVector<I, n> res;
for(int i = 0; i < n; ++i)
res[i] = round_t<I, T, cstyle, rstyle>::round(val[i], epsilon);
return res;
}
};
} // namespace Detail
template<class I, class T, CmpStyle cstyle, RoundingStyle rstyle>
Jorrit Fahlke
committed
I round(const T &val, typename EpsilonType<T>::Type epsilon /*= DefaultEpsilon<T, cstyle>::value()*/)
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
{
return Detail::round_t<I, T, cstyle, rstyle>::round(val, epsilon);
}
template<class I, class T, CmpStyle cstyle>
I round(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, cstyle>::value())
{
return round<I, T, cstyle, defaultRoundingStyle>(val, epsilon);
}
template<class I, class T, RoundingStyle rstyle>
I round(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return round<I, T, defaultCmpStyle, rstyle>(val, epsilon);
}
template<class I, class T>
I round(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return round<I, T, defaultCmpStyle>(val, epsilon);
}
// truncation
namespace Detail {
template<class I, class T, CmpStyle cstyle = defaultCmpStyle, RoundingStyle rstyle = defaultRoundingStyle>
struct trunc_t;
template<class I, class T, CmpStyle cstyle>
struct trunc_t<I, T, cstyle, downward> {
static I
trunc(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
// this sould be optimized away unless needed
if(!std::numeric_limits<I>::is_signed)
// make sure this works for all useful cases even if I is an unsigned type
if(eq<T, cstyle>(val, T(0), epsilon)) return I(0);
// first get an approximation
I lower = I(val); // now |val-lower| < 1
// make sure we're really lower in case the cast truncated to an unexpected direction
if(T(lower) > val) lower--; // now val-lower < 1
// check whether lower + 1 is approximately val
if(eq<T, cstyle>(T(lower+1), val, epsilon))
return lower+1;
else return lower;
}
};
template<class I, class T, CmpStyle cstyle>
struct trunc_t<I, T, cstyle, upward> {
static I
trunc(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
I upper = trunc_t<I, T, cstyle, downward>::trunc(val, epsilon);
if(ne<T, cstyle>(T(upper), val, epsilon)) ++upper;
return upper;
}
};
template<class I, class T, CmpStyle cstyle>
struct trunc_t<I, T, cstyle, towardZero> {
static I
trunc(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
if(val > T(0)) return trunc_t<I, T, cstyle, downward>::trunc(val, epsilon);
else return trunc_t<I, T, cstyle, upward>::trunc(val, epsilon);
}
};
template<class I, class T, CmpStyle cstyle>
struct trunc_t<I, T, cstyle, towardInf> {
static I
trunc(const T &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
if(val > T(0)) return trunc_t<I, T, cstyle, upward>::trunc(val, epsilon);
else return trunc_t<I, T, cstyle, downward>::trunc(val, epsilon);
}
};
template<class I, class T, CmpStyle cstyle, RoundingStyle rstyle>
struct trunc_t<std::vector<I>, std::vector<T>, cstyle, rstyle> {
static std::vector<I>
trunc(const std::vector<T> &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
unsigned int size = val.size();
std::vector<I> res(size);
for(unsigned int i = 0; i < size; ++i)
res[i] = trunc_t<I, T, cstyle, rstyle>::trunc(val[i], epsilon);
return res;
}
};
template<class I, class T, int n, CmpStyle cstyle, RoundingStyle rstyle>
struct trunc_t<Dune::FieldVector<I, n>, Dune::FieldVector<T, n>, cstyle, rstyle> {
static Dune::FieldVector<I, n>
trunc(const Dune::FieldVector<T, n> &val,
typename EpsilonType<T>::Type epsilon = (DefaultEpsilon<T, cstyle>::value())) {
Dune::FieldVector<I, n> res;
for(int i = 0; i < n; ++i)
res[i] = trunc_t<I, T, cstyle, rstyle>::trunc(val[i], epsilon);
return res;
}
};
} // namespace Detail
template<class I, class T, CmpStyle cstyle, RoundingStyle rstyle>
Jorrit Fahlke
committed
I trunc(const T &val, typename EpsilonType<T>::Type epsilon /*= DefaultEpsilon<T, cstyle>::value()*/)
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
{
return Detail::trunc_t<I, T, cstyle, rstyle>::trunc(val, epsilon);
}
template<class I, class T, CmpStyle cstyle>
I trunc(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, cstyle>::value())
{
return trunc<I, T, cstyle, defaultRoundingStyle>(val, epsilon);
}
template<class I, class T, RoundingStyle rstyle>
I trunc(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return trunc<I, T, defaultCmpStyle, rstyle>(val, epsilon);
}
template<class I, class T>
I trunc(const T &val, typename EpsilonType<T>::Type epsilon = DefaultEpsilon<T, defaultCmpStyle>::value())
{
return trunc<I, T, defaultCmpStyle>(val, epsilon);
}
} //namespace Dune
// oo interface
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
FloatCmpOps<T, cstyle_, rstyle_>::
FloatCmpOps(EpsilonType epsilon) : epsilon_(epsilon) {}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
typename FloatCmpOps<T, cstyle_, rstyle_>::EpsilonType
FloatCmpOps<T, cstyle_, rstyle_>::epsilon() const
{
return epsilon_;
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
void
FloatCmpOps<T, cstyle_, rstyle_>::epsilon(EpsilonType epsilon__)
{
epsilon_ = epsilon__;
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
eq(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::eq<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
ne(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::ne<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
gt(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::gt<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
lt(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::lt<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
ge(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::ge<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
bool FloatCmpOps<T, cstyle_, rstyle_>::
le(const ValueType &first, const ValueType &second) const
{
return Dune::FloatCmp::le<ValueType, cstyle>(first, second, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
template<class I>
I FloatCmpOps<T, cstyle_, rstyle_>::
round(const ValueType &val) const
{
return Dune::FloatCmp::round<I, ValueType, cstyle, rstyle_>(val, epsilon_);
}
template<class T, FloatCmp::CmpStyle cstyle_, FloatCmp::RoundingStyle rstyle_>
template<class I>
I FloatCmpOps<T, cstyle_, rstyle_>::
trunc(const ValueType &val) const
{
return Dune::FloatCmp::trunc<I, ValueType, cstyle, rstyle_>(val, epsilon_);
}
} //namespace Dune